{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Berea Sandstone Simulation Using PoreSpy and OpenPNM"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The example explains effective permeabilty calculations using PoreSpy and OpenPNM software. The simulation is performed on X-ray tomography image of [BereaSandstone](https://www.imperial.ac.uk/earth-science/research/research-groups/perm/research/pore-scale-modelling/micro-ct-images-and-networks/berea-sandstone/). The calculated effective permeablity value can compared with value report in [Dong et al](https://www.semanticscholar.org/paper/Pore-network-extraction-from-images.-Dong-Blunt/31fbb0362bd02e483c8b1f19f944f9bf15095a80).   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Start by importing the necessary packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import imageio\n",
    "import scipy as sp\n",
    "import numpy as np\n",
    "import openpnm as op\n",
    "import porespy as ps\n",
    "import matplotlib.pyplot as plt\n",
    "np.set_printoptions(precision=4)\n",
    "np.random.seed(10)\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load BreaSandstone Image file"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Give path to image file and load the image. Please note image should be binarized or in boolean format before performing next steps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "path = '../../_fixtures/ICL-Sandstone(Berea)/'\n",
    "file_format = '.tif'\n",
    "file_name = 'Berea'\n",
    "file = file_name + file_format\n",
    "fetch_file = os.path.join(path, file)\n",
    "im = imageio.mimread(fetch_file)\n",
    "im = ~np.array(im, dtype=bool)[:250, :250, :250]  # Make image a bit smaller"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Confirm image and check image porosity\n",
    "Be patient, this might take ~30 seconds (depending on your CPU)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# NBVAL_IGNORE_OUTPUT\n",
    "fig, ax = plt.subplots(1, 3, figsize=(12,5))\n",
    "ax[0].imshow(im[:, :, 100]);\n",
    "ax[1].imshow(ps.visualization.show_3D(im));\n",
    "ax[2].imshow(ps.visualization.sem(im));\n",
    "ax[0].set_title(\"Slice No. 100 View\");\n",
    "ax[1].set_title(\"3D Sketch\");\n",
    "ax[2].set_title(\"SEM View\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.204275328\n"
     ]
    }
   ],
   "source": [
    "print(ps.metrics.porosity(im))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Extract pore network using SNOW algorithm in PoreSpy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The SNOW algorithm (an accronym for Sub-Network from an Oversegmented Watershed) was presented by [Gostick](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.023307). The algorithm was used to extract pore network from BereaSandstone image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Extracting pore and throat properties:   0%|          | 0/3579 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# NBVAL_IGNORE_OUTPUT\n",
    "resolution = 5.345e-6\n",
    "snow = ps.networks.snow2(im, voxel_size=resolution)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import network in OpenPNM"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The output from the SNOW algorithm above is a plain python dictionary containing all the extracted pore-scale data, but it is NOT yet an OpenPNM network. We need to create an empty network in OpenPNM, then populate it with the data from SNOW:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "settings = {'pore_shape': 'pyramid',\n",
    "            'throat_shape': 'cuboid',\n",
    "            'pore_diameter': 'equivalent_diameter',\n",
    "            'throat_diameter': 'inscribed_diameter'}\n",
    "pn, geo = op.io.PoreSpy.import_data(snow.network, settings=settings)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can print the network to see how the transferred worked.\n",
    "\n",
    "> Note to developers:  We need to ignore the output of the following cell since the number of pores differs depending on whether the code is run on a windows or linux machine.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――\n",
      "openpnm.network.GenericNetwork : net_01\n",
      "――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――\n",
      "#     Properties                                    Valid Values\n",
      "――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――\n",
      "1     pore.coords                                    3579 / 3579 \n",
      "2     pore.region_label                              3579 / 3579 \n",
      "3     throat.conns                                   5786 / 5786 \n",
      "――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――\n",
      "#     Labels                                        Assigned Locations\n",
      "――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――\n",
      "1     pore.all                                      3579      \n",
      "2     pore.boundary                                 859       \n",
      "3     pore.geo_01                                   3579      \n",
      "4     pore.xmax                                     148       \n",
      "5     pore.xmin                                     130       \n",
      "6     pore.ymax                                     147       \n",
      "7     pore.ymin                                     138       \n",
      "8     pore.zmax                                     158       \n",
      "9     pore.zmin                                     138       \n",
      "10    throat.all                                    5786      \n",
      "11    throat.geo_01                                 5786      \n",
      "――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――\n"
     ]
    }
   ],
   "source": [
    "# NBVAL_IGNORE_OUTPUT\n",
    "print(pn)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Check network health"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Remove isolated pores or cluster of pores from the network by checking it network health. Make sure ALL keys in network health functions have no value. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――\n",
      "key                                 value\n",
      "――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――\n",
      "disconnected_clusters               []\n",
      "isolated_pores                      []\n",
      "trim_pores                          []\n",
      "duplicate_throats                   []\n",
      "bidirectional_throats               []\n",
      "headless_throats                    []\n",
      "looped_throats                      []\n",
      "――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――\n"
     ]
    }
   ],
   "source": [
    "h = pn.check_network_health()\n",
    "op.topotools.trim(network=pn, pores=h['trim_pores'])\n",
    "h = pn.check_network_health()\n",
    "print(h)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Assign phase"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this example air is considered as fluid passing through porous channels. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "air = op.phases.Air(network=pn)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Assign physics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "phys_air = op.physics.Basic(network=pn, phase=air, geometry=geo)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Assign Algorithm and boundary conditions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Select stokes flow algorithm for simulation and assign dirichlet boundary conditions in top and bottom faces of the network."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "perm = op.algorithms.StokesFlow(network=pn, phase=air)\n",
    "perm.set_value_BC(pores=pn.pores('zmax'), values=0)\n",
    "perm.set_value_BC(pores=pn.pores('zmin'), values=101325)\n",
    "perm.run()\n",
    "air.update(perm.results())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate effective permeability"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Caclulate effective permeablity using hagen poiseuille equation. Use cross section area and flow length manually from image dimension. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "resolution = 5.345e-6\n",
    "Q = perm.rate(pores=pn.pores('zmin'), mode='group')[0]\n",
    "A = (im.shape[0] * im.shape[1]) * resolution**2\n",
    "L = im.shape[2] * resolution\n",
    "mu = air['pore.viscosity'].max()\n",
    "delta_P = 101325 - 0\n",
    "K = Q * L * mu / (A * delta_P)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Note to developers:  We need to ignore the output of the following cell since the results are slightly different on different platforms (windows vs linux)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The value of K is: 1559.63 mD\n"
     ]
    }
   ],
   "source": [
    "# NBVAL_IGNORE_OUTPUT\n",
    "print(f'The value of K is: {K/0.98e-12*1000:.2f} mD')"
   ]
  }
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